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Assertion (A): 30 children were asked about the number of hours they watched TV programme every day. The results are recorded as under. Number of hours, 0-5, 5-10, 10-15, 15-20, Frequency, 8, 16, 4, 2

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Question

Assertion (A): 30 children were asked about the number of hours they watched TV programme every day. The results are recorded as under.

Number of hours 0-5 5-10 10-15 15-20
Frequency 8 16 4 2

Then the number of children who watched TV for 10 or more hours a day is 22.

Reason (R): The assertion is not correct as the required number is 4 + 2 = 6.

Options

  • A is true, R is false.

  • A is false, R is true.

  • Both A and R are true and R is the correct reason for A.

  • Both A and R are true and R is the incorrect reason for A.

MCQ
Assertion and Reasoning
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Solution

A is false, R is true.

Explanation:

The assertion (A) is false because the number of children watching TV for 10 or more hours includes only the frequencies from the 10-15 and 15-20 class intervals. The correct total is 4 + 2 = 6, not 22. The reason (R) correctly identifies this error and provides the accurate calculation, making it a true statement.

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Chapter 17: Statistics - TEST YOURSELF [Page 258]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 17 Statistics
TEST YOURSELF | Q 1. (d) | Page 258
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